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Finding the Fourth Proportional to 9,337, 12,885.10 and 5,145.16

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Solution

The fourth proportional to 9,337, 12,885.10 and 5,145.16 is: 7,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337 : 12,885.10 = 5,145.16 : x
  2. Step 2: Convert to fraction form
    9,337/12,885.10 = 5,145.16/x
  3. Step 3: Cross multiply
    9,337x = 12,885.10 × 5,145.16
  4. Step 4: Simplify right side
    9,337x = 66,295,901.12
  5. Step 5: Solve for x
    x = 66,295,901.12/9,337
  6. Step 6: Final answer
    x = 7,100.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.